When Teslyn, Joline and Edesina leave for Tar Valon, Seta goes with them. Mat asks her to find a way to fix the problem of sul'dam being able to channel so that it doesn't cause the Empire to collapse. She seems to take heart from this (ToM, Ch. 17).

Miscellaneous

After being questioned by Mat about why the Aes Sedai are leaving the wagons, Seta offers to gather information for Mat (CoT, Ch. 28).